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Finding the Fourth Proportional to 3,677.96, 5,082.86 and 3,013.76

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Solution

The fourth proportional to 3,677.96, 5,082.86 and 3,013.76 is: 4,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.96 : 5,082.86 = 3,013.76 : x
  2. Step 2: Convert to fraction form
    3,677.96/5,082.86 = 3,013.76/x
  3. Step 3: Cross multiply
    3,677.96x = 5,082.86 × 3,013.76
  4. Step 4: Simplify right side
    3,677.96x = 15,318,520.15
  5. Step 5: Solve for x
    x = 15,318,520.15/3,677.96
  6. Step 6: Final answer
    x = 4,164.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.